1. What is the Semiperimeter of Equilateral Triangle?

The semiperimeter of an equilateral triangle is half of the sum of the length of all three sides of the triangle. In an equilateral triangle, all three sides are equal in length.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( s \) — Semiperimeter of Equilateral Triangle (m)
• \( M \) — Median of Equilateral Triangle (m)
• \( \sqrt{3} \) — Mathematical constant approximately equal to 1.732051

Explanation: This formula establishes the relationship between the median and semiperimeter of an equilateral triangle.

3. Formula Explanation

Details: In an equilateral triangle, the median, altitude, and angle bisector coincide. The formula shows that the semiperimeter is equal to the square root of 3 multiplied by the median length.

4. Using the Calculator

Tips: Enter the median length of the equilateral triangle in meters. The value must be positive and greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between side length and median in an equilateral triangle?
A: In an equilateral triangle, the median length is equal to \( \frac{\sqrt{3}}{2} \times \) side length.

Q2: Can this formula be used for other types of triangles?
A: No, this specific formula applies only to equilateral triangles where all sides and angles are equal.

Q3: What are the practical applications of calculating semiperimeter?
A: Semiperimeter is used in various geometric calculations, including Heron's formula for area calculation and other triangle properties.

Q4: How accurate is this calculation?
A: The calculation is mathematically exact when using the precise value of \( \sqrt{3} \).

Q5: What units should be used for input and output?
A: The calculator uses meters as the default unit, but the formula works with any consistent unit of measurement.